The bible is neither true or false, as MEN describe it.
Men have made certain claims about it,and archeologial EVIKDENCE tends to back up those claims.
MEN have made certain claims about the BoM; but, there is NOTHING found in the record to back up those claims.
"In the beginning GOD...." is a claim.
MEN either 'believe' it or they do not, for, so far, nothing has been found in the 'record' to either prove or disprove it.
A few verses later, 4 rivers are mentioned. There are two rivers today that have those names, and the area around them have yield literally TONS of artifacts that speak to the FACT that things described in the bible were truly where it calaimed they were.
The bible has been used to FIND some places - the BoM cannot be 'used' to find anything.
Your arguments are at odds with each other. First you say that the book of mormon isn’t what it claims to be because you can’t find any artifacts or archeological sites to back it up. Then you say that there is no evidence that god is, so you just have to believe and that’s ok. So which is it?
Either god reveals truth to his children or he doesn’t. It wouldn’t have occurred to me that he depended on archeologists to really drive his point home.